Question

In AOPQ, OQ is extended through point Q to point R, m PQR = (7x – 19)º, mZOPQ = (2x – 3)°, and mZQOP = (x + 16). Find mZPQR.

Answer 1

For this case we can do the following:

m < PQR = 7x -19

m < OPQ= 2x-3

m < QOP= x+16

We need to satisfy that:

(180- m Replacing we got:

(180- 7x +19) + 2x -3 + x+16= 180

-7x +2x +x = -19+3 -16

-4x = -32

x= 8

Then m